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Weyl character formula
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11	Unique Functionals and Representations of Hecke Algebras Benjamin Brubaker, Daniel Bump and Solomon Friedberg October 5, 2012 To the memory of Jonathan David Rogawski Abstract Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2012-10-05 16:08:38 Kazhdan–Lusztig polynomial Hecke algebra Macdonald polynomials Weight Iwahori subgroup Admissible representation Von Neumann algebra Weyl character formula Verma module Abstract algebra Algebra Representation theory
12	Generalized Kac-Moody algebras. Journal of Algebra Vol 115, No. 2, June 1988 Richard E. Borcherds, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, Eng Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:06:45 Group theory Generalized Kac–Moody algebra Kac–Moody algebra Weyl character formula Cartan subalgebra Monster Lie algebra Representation theory En Weyl group Lie algebras Abstract algebra Algebra
13	Introduction to the monster Lie algebra. Groups, Combinatorics, and geometry, p. 99–107, edited by M. W. Liebeck and J. Saxl, L.M.S. lecture note series 165, C.U.P[removed]Richard E. Borcherds, I would like to thank J. Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:25 Monster Lie algebra Kac–Moody algebra Weyl character formula Monstrous moonshine Simple Lie group Vertex operator algebra En Representation theory E8 Abstract algebra Lie algebras Lie groups
14	Crystals of Type B and Metaplectic Whittaker Functions Brubaker, Bump, Chinta and Gunnells May 11, 2010 Let n be an integer and let F be a nonarchimedean local field whose characteristic is not a prime dividing n. Let µ Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:35 Group theory Representation theory of Lie groups Lie groups Representation theory Weyl character formula Symbol Weight Root system Weyl group Abstract algebra Algebra Lie algebras
15	Automorphic forms and Lie algebras. 30 Sept 1996 Richard E. Borcherds,∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, England. e-mail: [removed] home page: http://www.dpmms.cam.ac.uk/˜reb 0. Introduction. Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:05:02 Vertex operator algebra Monster Lie algebra Kac–Moody algebra II25 1 En Weyl character formula Leech lattice Weight E8 lattice Abstract algebra Algebra Lie algebras
16	Crystals and Multiple Dirichlet Series Brubaker, Bump, Chinta, Friedberg, Gunnells Work In Progress Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:05 Lie algebras Weyl character formula Littelmann path model Quantum group Weight Symbol Hopf algebra Universal enveloping algebra Restricted representation Abstract algebra Algebra Representation theory
17	Monstrous moonshine and monstrous Lie superalgebras. Invent. Math. 109, [removed]Richard E. Borcherds, Department of pure mathematics and mathematical statistics, 16 Mill Lane, Cambridge CB2 1SB, England. We prove Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:09:03 Monster Lie algebra Generalized Kac–Moody algebra Weyl character formula Kac–Moody algebra Monstrous moonshine Vertex operator algebra En Weight Monster vertex algebra Abstract algebra Lie algebras Algebra
18	Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory Ben Brubaker, Daniel Bump and Solomon Friedberg Department of Mathematics, MIT, Cambridge MA[removed], USA Department of Mathematics, Stanford Universit Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:10 Representation theory of Lie groups Number theorists Dirichlet series Weyl character formula Series Hermann Weyl Multiplicative function Mathematical analysis Mathematics Abstract algebra
19	Central extensions of generalized Kac-Moody algebras. J. Algebra Vol 140, No. 2, July 1991, 330–335. Richard E. Borcherds, D.P.M.M.S., Cambridge University, 16 Mill Lane, Cambridge, CB2 1SB, England. The main result of Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:05:13 Group theory Generalized Kac–Moody algebra Kac–Moody algebra Cartan subalgebra Monster Lie algebra Weyl character formula En Cartan matrix Weight Lie algebras Abstract algebra Algebra
20	Sporadic groups and string theory. First European Congress of Mathematics, Vol. I (Paris, 1992), 411–421, Progr. Math., 119, Birkh¨ auser, Basel, 1994. Richard E. Borcherds, DPMMS, 16 Mill Lane, Cambridge, CB2 1SB, En Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:05:50 Monster Lie algebra Weyl character formula Kac–Moody algebra Vertex operator algebra Virasoro algebra Representation theory Lie superalgebra Monstrous moonshine Exterior algebra Abstract algebra Lie algebras Algebra